А) 2cos13*cos43-cos56/2sin58cos13-sin7 1 б) 2cos10*cos70-cos80/2sin40cos10-sin5 0

1)2cos13cos43-cos(13+43)=2cos13cos43-cos13cos43+sin13sin43= =cos13cos43+sin13sin43=cos(43-13)=cos30=√3/2 2sin58cos13-sin(58+13)=2sin58cos13-sin58cos13-cos13sin58= =sin58cos13-cos13sin58=sin(58-13)=sin45=√2/2 (2cos13*cos43-cos56)/(2sin58cos13-sin71)=√3/2: √2/2=√3/2*2/√2=√3/√2=√6/2 2)2cos10cos70-cos(10+70)=2cos10cos70-cos10cos70+sin10sin70= =cos10cos70+sin10sin70=cos(70-10)=cos60=1/2 2sin40cos10-sin(40+10)=2sin40cos10-sin40cos10-cos40sin10= =sin40cos10-cos10sin40=sin(40-10)=sin30=1/2 (2cos10*cos70-cos80)/(2sin40cos10-sin50)=1/2: 1/2=1

3х-9у=3(х-3у)

16z-20y=4(4z-5y)

ab-bc=b(a-c)

4cx-acx=cx(4-a)

ad+bd+cd=d(a+b+c)

abx-acx-adx=ax(b-c-d)

1)x=5-y

    3(5-y)+y=7

    x=5-y

    15-3y+y=7

    x=5-y

    15-7=2y

    x=5-y

    y=4

    x=1

    y=4

2)3m-2n=5

    4m=20

    3m-2n=5

    m=5

    15-5=2n

      m=5

      n=5

  3)x+y=5

      2x=12

      x+y=5

      x=6

      y=-1